Summary: JOURNAL O F THE
AMERICAN MATHEMATICAL SOCIETY
Volume I . Number 3. July 1988
THE INVARIANT TRACE FORMULA. 11.
GLOBAL THEORY
JAMES ARTHUR
Introduction
1. Assumptions on G
2. The invariant trace formula: first version
3. The geometric side
4. The spectral side
5. Completion of the induction argument
6. A convergence estimate
7. Simpler forms of the trace formula
8. The example of GL(n) . Global vanishing properties
Appendix. The trace Paley-Wiener theorems
References
The purpose of this article is to prove an explicit invariant trace formula. In
the preceding paper [l(j)], we studied two families of invariant distributions.
Now we shall exhibit these distributions as terms on the two sides of the in-